NOVEL GENERALIZED GREY INCIDENCE MODEL BASED ON INTERVAL GREY NUMBERS  

基于区间灰数信息的广义关联度模型(英文)

作　　者：谢乃明[1] 郑静[1] 辛江慧[2] 

机构地区：[1]南京航空航天大学经济与管理学院 [2]南京工程学院车辆工程系

出　　处：《Transactions of Nanjing University of Aeronautics and Astronautics》2012年第2期118-124,共7页南京航空航天大学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(70901041,71171113);the Joint Research Project of National Natural Science Foundation of China and Royal Society of UK(71111130211);the Major Program of National Funds of Social Science of China;the Doctoral Fund of Ministry of Education of China(20093218120032,200802870020);the Qinglan Project for Excellent Youth Teacher in Jiangsu Province(China);the Research Funding of Nanjing University of Aeronautics and Astronautics(NR2011002,NJ2011009)~~

摘　　要：To extend the traditional generalized grey incidence model, a novel grey incidence model based on inter- val grey numbers is constructed. Considering the numerical information of indexes cannot be accurately obtained and can be defined as interval grey numbers, the interval grey numbers are defined as standard interval grey num- bers which are split in white part and grey part. The absolute degree of incidence and relative degree of incidence based on the interval grey numbers are constructed and their arithmetic are given. Finally, an example about commercial aircraft index selection illuminates the effectiveness of the model. The results show that the model can sort indexes better and can extend the grey incidence models significantly.针对传统广义关联度模型在灰数信息背景下的拓展问题展开研究,构建了一类基于区间灰数信息的广义关联度模型。考虑现实背景下众多实际问题的元素值信息难以准确获取,采用区间灰数表征不确定信息,并将灰元信息划分成白部和灰部。在此基础上给出了基于灰数信息的广义关联度模型的求解算法。最后采用商用飞机成本指标选择问题进行实证分析说明模型的有效性。结果表明,该模型能够很好地对指标进行排序,对拓展灰色关联模型有一定的借鉴意义。

关 键 词：grey system grey incidence analysis standard interval grey number absolute degree of incidencerelative degree of incidence 

分 类 号：N941.5[自然科学总论—系统科学]